Answer:
-6
Step-by-step explanation:
-9+4=-5-3=-8+2=-6
The outer term would be the extremes and middle terms the means
You can solve this since you can develop 3 equations for your 3 unknowns. Each equation is made using the Pythagorean theorem:
1) x^2 = y^2 + 16^2
2) z^2 = y^2 + 4^2
3) (16 + 4)^2 = z^2 + x^2
Simplifying the above we get:
1) x^2 = y^2 + 256
2) z^2 = y^2 + 16
3) 400 = z^2 + x^2
We want to solve for z. There are several ways but an easy one is with substitution. Start by rearranging 2) and 3) like this:
2’) y^2 = z^2 - 16
3’) x^2 = 400 - z^2
Now we have expressed x and y in terms of z. Plug these values into the unused equation, 1), to solve for z:
1’) 400 - z^2 = z^2 - 16 + 256
2z^2 = 160
z^2 = 80
z = √80
z = √(16)(5)
z = 4√5
Answer:
x⁴ - y⁴= (x²)²- (y²)² = (x² + y²)(x²- y²) = (x²+y²)(x)²-(y)²=(x²+y²)(x+y)(x-y)
49x²-16/25= (7x)²- (4/5)²=(7x+4/5)(7x-4/5)
Answer: 3/5
Step-by-step explanation:
There are 20 balls, numbered 1 through 20.
Of these, 10 are even, 4 are less than five, and 2 are both even and less than 5.
So the probability is:
P(even or <5) = P(even) + P(<5) − P(even and <5)
P(even or <5) = 10/20 + 4/20 − 2/20
P(even or <5) = 12/20
P(even or <5) = 3/5
